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Redheffer-Type Bounds of Special Functions

Author

Listed:
  • Reem Alzahrani

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Al Ahsa 31982, Saudi Arabia
    These authors contributed equally to this work.)

  • Saiful R. Mondal

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Al Ahsa 31982, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

In this paper, we aim to construct inequalities of the Redheffer type for certain functions defined by the infinite product involving the zeroes of these functions. The key tools used in our proofs are classical results on the monotonicity of the ratio of differentiable functions. The results are proved using the n th positive zero, denoted by b n ( ν ) . Special cases lead to several examples involving special functions, namely, Bessel, Struve, and Hurwitz functions, as well as several other trigonometric functions.

Suggested Citation

  • Reem Alzahrani & Saiful R. Mondal, 2023. "Redheffer-Type Bounds of Special Functions," Mathematics, MDPI, vol. 11(2), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:379-:d:1031946
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